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In a parallelogram WXYZ , W and X are adjacent interior angles the measure of X is three times the measure of W which equation gives the exact measure of W

User Mindlid
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1 Answer

1 vote

Answer:

The required equation is
\angle W+3\angle W=180^(\circ).

Explanation:

Given information: WXYZ is a parallelogram, W and X are adjacent interior angles and measure of X is three times the measure of W.

According to the properties of parallelogram, the two adjacent interior angle are supplementary angle and their sum is 180 degrees.


\angle W+\angle X=180^(\circ) .... (1)

It is also given that the measure of X is three times the measure of W.


\angle X=3\angle W

Substitute this value in equation 1.


\angle W+3\angle W=180^(\circ)


4\angle W=180^(\circ)


\angle W=45^(\circ)

Substitute this value in equation 1.


\angle W=135^(\circ)

Therefore the required equation is
\angle W+3\angle W=180^(\circ).

User NerdyNick
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